Finding the Third Proportional to 223,101 and 339,877.69

Step by Step Solution

1. Step 1: Write the proportion equation
   223,101 : 339,877.69 = 339,877.69 : x
2. Step 2: Convert to fraction form
   223,101/339,877.69 = 339,877.69/x
3. Step 3: Cross multiply
   223,101x = 339,877.69 × 339,877.69
4. Step 4: Simplify right side
   223,101x = 115,516,842,460.35
5. Step 5: Solve for x
   x = 115,516,842,460.35/223,101
6. Step 6: Final answer
   x = 517,778.24